Thanks for mentioning these two issues. I am sorry the original post is only for recording an insight. I didn't offer more details about the two diagrams and some concepts.

1. The diagram of Activity Network

This diagram is adopted from Finnish educational researcher Yrjö Engeström’s 1987 book Learning by Expanding is An Activity-theoretical Approach to Developmental Research.

You can find more details here:

https://medium.com/call4/triangle-fdbecbba7ac2?sk=54e8e6a6a7b3b531febc83ab6be1f040

2.

I am working on a theoretical framework called "Anticipatory Activity System (AAS)" which is inspired by the following theoretical appraoches:

- Anticipatory System theory

- Activity Theory

The AAS framework is developed for discussing "Self, Other, Present, Future". For example, Life Strategy.

More details:

https://medium.com/call4/aas-c8b6751f8e34?sk=e3a0a2979389722f1a32471ec738acbe

Traditinally, Activity Theorists don't use the term "Second-order Activity", but they pay attention to the conect of "Object (Objective)" because the concept of "Activity" is defiend by "Object (Objective)".

The AAS framework defines two types of Activities, First-order Activity and Second-order Activity.

For First-order Activities, people are working toward to a predined object(objective) while Second-order Activity aims to find a clear object(objective) for a next First-order Activity.

If a project aims to develop a strategy for a company, then the project is understood as a Second-order Activity.